How do I superimpose a pdf over a histogram?

i want to superimpose the pdf to the histogram. i have written those codes. this is the actual question.

Create 10,000 uniform (0, 1) random variables. · Create 10.000 exponentially distributed random variables by applying the inverse function of F (x) X to the above uniform random variables. · Plot the histogram of the exponentially distributed random variables to approximate the actual pdf. · Superimpose the actual pdf to the above histogram.

this is my codes

[u=rand(1,10000);
lam=0.5;
x=-1/lam.*log(1-u);
y=linspace(min(x),max(x));
h=exp(-y/2);
hist(x),
hold on
plot(y,h)

Answer 1

[Sean de Wolski]

It's plotting both of them; it's just the pdf is on the range of 0-1 (y values) and the histogram is on the range of 0-7000. Normalize by the number of elements to get the histogram on the range of 0-1. Or use subplots and explain the merits of them v. superimposing to your professor.

axis([0 25 0 1])

and you'll see the pdf line.

Answer 2

[Oleg Komarov]

also see histfit

[Deepan J]

use 'Normalization', 'PDF'